111100110221200 has 120 divisors (see below), whose sum is σ = 268018814135520. Its totient is φ = 44256817920000.

The previous prime is 111100110221179. The next prime is 111100110221209. The reversal of 111100110221200 is 2122011001111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (111100110221209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756641391 + ... + 756788209.

It is an arithmetic number, because the mean of its divisors is an integer number (2233490117796).

Almost surely, 2^{111100110221200} is an apocalyptic number.

111100110221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111100110221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134009407067760).

111100110221200 is an abundant number, since it is smaller than the sum of its proper divisors (156918703914320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111100110221200 is a wasteful number, since it uses less digits than its factorization.

111100110221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154625 (or 154614 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111100110221200 its reverse (2122011001111), we get a palindrome (113222121222311).

The spelling of 111100110221200 in words is "one hundred eleven trillion, one hundred billion, one hundred ten million, two hundred twenty-one thousand, two hundred".